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Finding the Fourth Proportional to 8,363.96, 12,546.09 and 3,980.54

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Solution

The fourth proportional to 8,363.96, 12,546.09 and 3,980.54 is: 5,970.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,363.96 : 12,546.09 = 3,980.54 : x
  2. Step 2: Convert to fraction form
    8,363.96/12,546.09 = 3,980.54/x
  3. Step 3: Cross multiply
    8,363.96x = 12,546.09 × 3,980.54
  4. Step 4: Simplify right side
    8,363.96x = 49,940,244.45
  5. Step 5: Solve for x
    x = 49,940,244.45/8,363.96
  6. Step 6: Final answer
    x = 5,970.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.